Exploring the Fundamental Counting Principle

The video introduces the fundamental counting principle, explaining its application in probability. It covers key vocabulary such as independent and dependent events, outcomes, and sample spaces. Through various examples, including sandwich combinations, restaurant and sports event choices, and more, the video demonstrates how to calculate possible combinations using the counting principle. The lesson concludes with practical applications like answering machine codes, license plates, and ice cream shop orders.

What is the term for events where the outcome of one event does not affect the outcome of another?

• Sample space

• Independent events

• Dependent events

• Outcome

How many combinations of meat and bun are possible if a sandwich cart offers hamburger, chicken, or fish on a plain or sesame bun?

• 5

• 4

• 3

• 6

Kim won a contest and can choose one of three restaurants and tickets for one of four sports events. How many different ways can she make her selection?

• 15

• 12

• 10

• 7

How many bread and spread combinations are possible if a sandwich menu offers white, wheat, or rye bread with butter, mustard, or mayonnaise?

• 8

• 9

• 6

• 7

How many different ways can the Murrays select a trip followed by the means of transportation if they can choose between a trip to the beach or the mountains and travel by car, train, or plane?

• 7

• 6

• 5

• 4

How many answering machine codes are possible if the code is two digits and each digit can be any number from 0 to 9?

• 50

• 75

• 125

• 100

How many license plates can be made if the first three places must be letters and the last three places must be numbers?

• 1,000,000

• 2,000,000

• 5,000,000

• 17,576,000

How many area codes are possible if each area code is three digits long?

• 10,000

• 100

• 500

• 1,000

How many different schedules could Carlito have if she wants to take six different classes next year, assuming each class is offered each period?

• 120

• 360

• 720

• 1,080

How many different one scoop one topping cones can a customer order at an ice cream shop that offers two types of cones, 15 flavors of ice cream, and three toppings?

• 60

• 90

• 30

• 120